Statistical and Mathematical Analyses of Sequence and Array Data. Development of mathematical and statistical methods and tools in bioinformation science will ensure that Australia is at the cutting-edge of modern biology. This will enhance Australia's reputation for dealing with the exponentially growing body of genomic data emerging from life sciences laboratories throughout the world. The proposed project has a broad range of potential applications in biotechnology, particularly in the medic ....Statistical and Mathematical Analyses of Sequence and Array Data. Development of mathematical and statistical methods and tools in bioinformation science will ensure that Australia is at the cutting-edge of modern biology. This will enhance Australia's reputation for dealing with the exponentially growing body of genomic data emerging from life sciences laboratories throughout the world. The proposed project has a broad range of potential applications in biotechnology, particularly in the medical and agricultural industries. Examples include improvements to livestock, in plant breeding such as drought resistance, and better genetic disease diagnosis, including earlier cancer diagnosis, and personalised treatment.Read moreRead less
Operations research without convexity. Operations Research (OR) is one of the most applicable areas of mathematics and of importance for the future of technologically advanced Australia. However, applications of OR often require convexity. This is a serious limitation. A new approach, monotonic analysis, which is applicable to a broad class of nonconvex problems, was given birth by the CI. Promising results have been obtained and leading researchers around the world (including the Presidents ....Operations research without convexity. Operations Research (OR) is one of the most applicable areas of mathematics and of importance for the future of technologically advanced Australia. However, applications of OR often require convexity. This is a serious limitation. A new approach, monotonic analysis, which is applicable to a broad class of nonconvex problems, was given birth by the CI. Promising results have been obtained and leading researchers around the world (including the Presidents of the Canadian Mathematical and French Applied Mathematics Societies) are keen to work with the CI developing this topic. This project both cements and extends world leadership in this field.Read moreRead less
Pattern formation of precursor films: a new mathematical model. This project aims to develop a new mathematical model to predict the pattern formation of a new class of permanent lubricants. Ionic liquids are conductive and do not evaporate, creating a unique opportunity to develop such coatings. These thin films form patterns where the pattern type (patches, stripes or holes) depends on the liquid/surface interaction. Only some patterns result in good lubrication; current limited understanding ....Pattern formation of precursor films: a new mathematical model. This project aims to develop a new mathematical model to predict the pattern formation of a new class of permanent lubricants. Ionic liquids are conductive and do not evaporate, creating a unique opportunity to develop such coatings. These thin films form patterns where the pattern type (patches, stripes or holes) depends on the liquid/surface interaction. Only some patterns result in good lubrication; current limited understanding of the pattern formation process hampers selection of a good lubricant for a chosen material. Current mathematical approaches are computationally expensive and time consuming. The new model expected from this project would provide a cheap, fast and reliable alternative for screening suitable liquid/surface pairs.Read moreRead less
Development of Control Methodologies for Drug Dosing in Biomedical Engineering. This research proposal is very relevant to the National Research Priorities in the areas of Frontier Technologies and Breakthrough science. At a broader level, we aim to assist in the development of a national competence in what has been an emerging and promising discipline. The research will develop fundamental and enabling laws and techniques for drug administration to regulate physiological variables such as blood ....Development of Control Methodologies for Drug Dosing in Biomedical Engineering. This research proposal is very relevant to the National Research Priorities in the areas of Frontier Technologies and Breakthrough science. At a broader level, we aim to assist in the development of a national competence in what has been an emerging and promising discipline. The research will develop fundamental and enabling laws and techniques for drug administration to regulate physiological variables such as blood pressure and degree of consciousness in critical care patients.Read moreRead less
From single cell to collective cell migration in multicellular systems: mathematical and computational modelling of real biological systems. Cell motion is a complex process, fundamental to physiological processes. This project provides the necessary quantitative framework to understand the full range of cell migration patterns observed in vivo, thereby contributing tools for cancer treatment and tissue engineering, as well as enhancing Australia's reputation in mathematical biology.
Invariants of singular spaces from noncommutative geometry. The project addresses questions of significance at the international forefront in the mathematical sciences and the ARC funds will enable research training of students and postdoctoral fellows at this very high level. International collaboration and networking is a key feature that will enhance Australia's scientific standing and provide opportunities for early career researchers to engage internationally with world leaders. The mainten ....Invariants of singular spaces from noncommutative geometry. The project addresses questions of significance at the international forefront in the mathematical sciences and the ARC funds will enable research training of students and postdoctoral fellows at this very high level. International collaboration and networking is a key feature that will enhance Australia's scientific standing and provide opportunities for early career researchers to engage internationally with world leaders. The maintenance of a high quality research program at ANU enhances Australia's ability to attract international students and places the ANU in the top league of world universities. It brings with it recognition of Australia as a culturally advanced nation.Read moreRead less
Decentralized Control Problems for Networked Systems. The conceptual advances to be made in the area decentralized control of networked systems.
New design rules for decentralized control in networked systems will be developed and published in the top international journals and major international conferences.
Also, a contribution of the project will be to produce high quality Ph.D. graduates in this area of control theory.
Mathematical Methods for Next Generation Sequencing. The emergence of a new generation of high throughput genomic sequencing technologies is providing unprecedented opportunities for biological research. Hidden within the huge amounts of data generated by this technology is information about the expression and regulation of genes, and the complex functional purpose of non-coding, so called 'junk', DNA. Development of mathematical and statistical tools is essential to interpreting these data. The ....Mathematical Methods for Next Generation Sequencing. The emergence of a new generation of high throughput genomic sequencing technologies is providing unprecedented opportunities for biological research. Hidden within the huge amounts of data generated by this technology is information about the expression and regulation of genes, and the complex functional purpose of non-coding, so called 'junk', DNA. Development of mathematical and statistical tools is essential to interpreting these data. The proposed research will enhance Australia's reputation for developing novel quantitative techniques at the cutting edge of modern biology. The proposed project has a broad range of potential applications in biotechnology, particularly in the medical and agricultural industries.Read moreRead less
Quantum Networks: Dynamics, Design and Control. The outcomes of this project have the potential to enhance the ability of researchers in Australia to invent significant new quantum technologies. The outcomes will provide researchers with new ways to consider architecture design for quantum technologies, new concepts and tools to help them model devices and systems, to interconnect them, to control them, to build them, and to understand how they behave. This will help place Australia in a leadi ....Quantum Networks: Dynamics, Design and Control. The outcomes of this project have the potential to enhance the ability of researchers in Australia to invent significant new quantum technologies. The outcomes will provide researchers with new ways to consider architecture design for quantum technologies, new concepts and tools to help them model devices and systems, to interconnect them, to control them, to build them, and to understand how they behave. This will help place Australia in a leading position internationally to engineer new quantum technologies.Read moreRead less